Two resistors of resistances 200 k Ωand 1 M Ω, respectively, form a potential divider with outer

Name: Problem 10, Chapter 5: Physics for IIT-JEE 2012-2013: Electricity & Magnetism
Uploaded: 2022-02-10T04:18:38-08:00
Duration: 1 min 20 s
Channel: Varsha Aggarwal
Description: Two resistors of resistances 200 k Ωand 1 M Ω, respectively, form a potential divider with outer junctions maintained at potentials of +3 V and -15 V. a. +1 V b. OV c. -0.6 V d-12 V

step 1 So here current equal E upon our equivalent. So E will be 3 minus of minus 15 upon 200 kilo -oom

Question

Two resistors of resistances $200 \mathrm{k} \Omega$ and $1 \mathrm{M} \Omega$, respectively, form a potential divider with outer junctions maintained at potentials of $+3 \mathrm{~V}$ and $-15 \mathrm{~V}$. a. $+1 V$ b. OV c. $-0.6 \mathrm{~V}$ $d-12 \mathrm{~V}$

   Two resistors of resistances $200 \mathrm{k} \Omega$ and $1 \mathrm{M} \Omega$, respectively, form a potential divider with outer junctions maintained at potentials of $+3 \mathrm{~V}$ and $-15 \mathrm{~V}$.
a. $+1 V$
b. OV
c. $-0.6 \mathrm{~V}$
$d-12 \mathrm{~V}$

Physics for IIT-JEE 2012-2013: Electricity & Magnetism

B.M. Sharma 2012 Edition

Chapter 5, Problem 10

Instant Answer

Solved by Expert Varsha Aggarwal

02/10/2022

Step 1

According to Ohm's law, the current (I) is equal to the voltage (V) divided by the resistance (R). In this case, the total voltage is the difference between the two potentials, which is $3V - (-15V) = 18V$. The total resistance is the sum of the two resistances, Show more…

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Two resistors of resistances $200 \mathrm{k} \Omega$ and $1 \mathrm{M} \Omega$, respectively, form a potential divider with outer junctions maintained at potentials of $+3 \mathrm{~V}$ and $-15 \mathrm{~V}$. a. $+1 V$ b. OV c. $-0.6 \mathrm{~V}$ $d-12 \mathrm{~V}$

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Key Concepts

Voltage Divider

A voltage divider is a circuit configuration that divides the input voltage among the series-connected resistors proportionally to their resistance values. This principle is fundamental in electronics for obtaining specific, reduced voltage levels from a higher voltage source.

Series Resistors

When resistors are connected in series, the same current flows through each resistor, and the voltage drop across each resistor is proportional to its resistance. This setup is key for understanding how voltages are distributed in a circuit and is essential for applying the voltage divider rule.

Ohm's Law

Ohm's Law, which states that voltage equals current times resistance (V = IR), is crucial for analyzing circuits. It underpins the calculation of voltage drops across components in a series circuit, thereby enabling the determination of individual junction voltages in a potential divider.

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